Relative Homological Algebra. / Volume 1, : Relative Homological Algebra ; Volume 1.
This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2011 |
Year of Publication: | 2011 |
Edition: | 2nd revised and extended edition |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
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Physical Description: | 1 online resource (359 p.) |
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Enochs, Edgar E., author. aut http://id.loc.gov/vocabulary/relators/aut Relative Homological Algebra. Volume 1, Relative Homological Algebra ; Volume 1. 2nd revised and extended edition Berlin ; Boston : De Gruyter, [2011] ©2011 1 online resource (359 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Expositions in Mathematics , 0938-6572 ; 30 Frontmatter -- Preface -- Preface to the Second Edition -- Contents -- Chapter 1. Basic Concepts -- Chapter 2. Flat Modules, Chain Conditions and Prime Ideals -- Chapter 3. Injective and Flat Modules -- Chapter 4. Torsion Free Covering Modules -- Chapter 5. Covers -- Chapter 6. Envelopes -- Chapter 7. Covers, Envelopes, and Cotorsion Theories -- Chapter 8. Relative Homological Algebra and Balance -- Chapter 9. Iwanaga–Gorenstein and Cohen–Macaulay Rings and Their Modules -- Chapter 10. Gorenstein Modules -- Chapter 11. Gorenstein Covers and Envelopes -- Chapter 12. Balance over Gorenstein and Cohen–Macaulay Rings -- Bibliographical Notes -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. In this new edition the authors have added well-known additional material in the first three chapters, and added new material that was not available at the time the original edition was published. In particular, the major changes are the following: Chapter 1: Section 1.2 has been rewritten to clarify basic notions for the beginner, and this has necessitated a new Section 1.3. Chapter 3: The classic work of D. G. Northcott on injective envelopes and inverse polynomials is finally included. This provides additional examples for the reader. Chapter 11: Section 11.9 on Kaplansky classes makes volume one more up to date. The material in this section was not available at the time the first edition was published. The authors also have clarified some text throughout the book and updated the bibliography by adding new references. The book is also suitable for an introductory course in commutative and ordinary homological algebra. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Algebra, Homological. Algebra. Ideal. Modul. Ring. MATHEMATICS / Algebra / Abstract. bisacsh Module Theory. Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011 9783110261189 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011 9783110261233 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011 9783110261202 ZDB-23-DMN print 9783110215205 https://doi.org/10.1515/9783110215212 https://www.degruyter.com/isbn/9783110215212 Cover https://www.degruyter.com/document/cover/isbn/9783110215212/original |
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English |
format |
eBook |
author |
Enochs, Edgar E., Enochs, Edgar E., |
spellingShingle |
Enochs, Edgar E., Enochs, Edgar E., Relative Homological Algebra. De Gruyter Expositions in Mathematics , Frontmatter -- Preface -- Preface to the Second Edition -- Contents -- Chapter 1. Basic Concepts -- Chapter 2. Flat Modules, Chain Conditions and Prime Ideals -- Chapter 3. Injective and Flat Modules -- Chapter 4. Torsion Free Covering Modules -- Chapter 5. Covers -- Chapter 6. Envelopes -- Chapter 7. Covers, Envelopes, and Cotorsion Theories -- Chapter 8. Relative Homological Algebra and Balance -- Chapter 9. Iwanaga–Gorenstein and Cohen–Macaulay Rings and Their Modules -- Chapter 10. Gorenstein Modules -- Chapter 11. Gorenstein Covers and Envelopes -- Chapter 12. Balance over Gorenstein and Cohen–Macaulay Rings -- Bibliographical Notes -- Bibliography -- Index |
author_facet |
Enochs, Edgar E., Enochs, Edgar E., |
author_variant |
e e e ee eee e e e ee eee |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Enochs, Edgar E., |
title |
Relative Homological Algebra. |
title_full |
Relative Homological Algebra. Volume 1, Relative Homological Algebra ; Volume 1. |
title_fullStr |
Relative Homological Algebra. Volume 1, Relative Homological Algebra ; Volume 1. |
title_full_unstemmed |
Relative Homological Algebra. Volume 1, Relative Homological Algebra ; Volume 1. |
title_auth |
Relative Homological Algebra. |
title_alt |
Frontmatter -- Preface -- Preface to the Second Edition -- Contents -- Chapter 1. Basic Concepts -- Chapter 2. Flat Modules, Chain Conditions and Prime Ideals -- Chapter 3. Injective and Flat Modules -- Chapter 4. Torsion Free Covering Modules -- Chapter 5. Covers -- Chapter 6. Envelopes -- Chapter 7. Covers, Envelopes, and Cotorsion Theories -- Chapter 8. Relative Homological Algebra and Balance -- Chapter 9. Iwanaga–Gorenstein and Cohen–Macaulay Rings and Their Modules -- Chapter 10. Gorenstein Modules -- Chapter 11. Gorenstein Covers and Envelopes -- Chapter 12. Balance over Gorenstein and Cohen–Macaulay Rings -- Bibliographical Notes -- Bibliography -- Index |
title_new |
Relative Homological Algebra. |
title_sort |
relative homological algebra. relative homological algebra ; volume 1. |
series |
De Gruyter Expositions in Mathematics , |
series2 |
De Gruyter Expositions in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2011 |
physical |
1 online resource (359 p.) Issued also in print. |
edition |
2nd revised and extended edition |
contents |
Frontmatter -- Preface -- Preface to the Second Edition -- Contents -- Chapter 1. Basic Concepts -- Chapter 2. Flat Modules, Chain Conditions and Prime Ideals -- Chapter 3. Injective and Flat Modules -- Chapter 4. Torsion Free Covering Modules -- Chapter 5. Covers -- Chapter 6. Envelopes -- Chapter 7. Covers, Envelopes, and Cotorsion Theories -- Chapter 8. Relative Homological Algebra and Balance -- Chapter 9. Iwanaga–Gorenstein and Cohen–Macaulay Rings and Their Modules -- Chapter 10. Gorenstein Modules -- Chapter 11. Gorenstein Covers and Envelopes -- Chapter 12. Balance over Gorenstein and Cohen–Macaulay Rings -- Bibliographical Notes -- Bibliography -- Index |
isbn |
9783110215212 9783110494969 9783110238570 9783110238471 9783110637205 9783110261189 9783110261233 9783110261202 9783110215205 |
issn |
0938-6572 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA169 |
callnumber-sort |
QA 3169 E6 42011 |
url |
https://doi.org/10.1515/9783110215212 https://www.degruyter.com/isbn/9783110215212 https://www.degruyter.com/document/cover/isbn/9783110215212/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.64 |
dewey-sort |
3512 264 |
dewey-raw |
512/.64 |
dewey-search |
512/.64 |
doi_str_mv |
10.1515/9783110215212 |
oclc_num |
769190340 |
work_keys_str_mv |
AT enochsedgare relativehomologicalalgebravolume1 |
status_str |
n |
ids_txt_mv |
(DE-B1597)36080 (OCoLC)769190340 |
carrierType_str_mv |
cr |
title_part_txt |
Relative Homological Algebra ; Volume 1. |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011 |
is_hierarchy_title |
Relative Homological Algebra. |
container_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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1806144250966966272 |
fullrecord |
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